The approach in [1]} used some of the ideas introduced in [2]}, but differently of that reference, the conserved quantities of the equation were utilised and brought a different framework in the study of persistence properties of the DGH and CH equations: They were used to give a different demonstration for unique continuation properties of the solutions of (REF ) and went further, exploring some consequences, such as the non-existence of non-trivial compactly supported solutions of the CH in Sobolev spaces. These ideas were also employed in the investigation of persistence properties of the BBM equation in [3]} and the \(0-\) equation in [4]}, [5]}.
